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The sloope of the line touching both the...

The sloope of the line touching both the parabolas `y^(2) =4x and x^(2) =32y ` is

A

`(1)/(8)`

B

`(2)/(3)`

C

`(1)/(2)`

D

`(3)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-PARABOLA-EXERCISE 1 A
  1. The equation of the common tangent to x^(2)+y^(2)=8 and y^(2)=16x is

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  2. The equation of the common tangent to y^(2)=8x and x^(2)+y^(2)-12x+4=0...

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  3. The sloope of the line touching both the parabolas y^(2) =4x and x^(2)...

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  4. The points of intersection of the parabolas y^(2)=5x and x^(2)=5y lie ...

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  5. The two parabolas y^(2)=4x and x^(2)=4y intersect at a point P whose...

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  6. If the common tangent of the circle x^(2)+y^(2)=c^(2) and the parabola...

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  7. The sum of the slopes of the tangents to the parabola y^(2)=8x drawn f...

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  8. The product of the slopes of the tangents to the parabola y^(2)=4x dra...

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  9. The slope of tangents drawn from a point (4,10) to the parabola y^(2)=...

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  10. The point of intersection of the tangents at the ends of latusrectum o...

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  11. The locus of the point of intersection of perpendicular tangents to th...

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  12. If two tangents drawn from a point P to the parabola y^(2)=4x are at r...

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  13. The tangents at the ends of a focal chord of a parabola y^(2)=4ax int...

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  14. The locus of the point of intersectio of the perpendicular tangents to...

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  15. The locus of the point of intersection of two tangents to the parabola...

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  16. The locus of the point of intersection of two tangents to the parabola...

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  17. The locus of the point of intersection of two tangents to the parabola...

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  18. The locus of the point of intersection of two tangents to the parabola...

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  19. The locus of the point of intersection of two tangents to the parabola...

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  20. The locus of point of intersection of tangents to y^(2) = 4ax which in...

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